# What is the derivative of #x^(2/3)+y^(2/3)=5# at the given point of #(8,1)#?

##
What is the derivative of #x^(2/3)+y^(2/3)=5# at the given point of #(8,1)# ?

What is the derivative of

By signing up, you agree to our Terms of Service and Privacy Policy

To find the derivative of (x^{2/3} + y^{2/3} = 5) at the point ((8, 1)), we first implicitly differentiate the equation with respect to (x), and then we substitute the given point's coordinates into the resulting expression to find the derivative's value at that point.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- How do you use the power rule to differentiate #f(x)=x^3-x^2-5x+8-1/x^5#?
- How do you use the quotient rule to differentiate #y=1/(x-4)^2#?
- How do you differentiate #f(x)= sin(x^2)cos(x^2)# using the product rule?
- What is the derivative of #1/(x-3)#?
- How do you use the chain rule to differentiate #y=(x+1)^3#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7